5

Give the domain and range in interval notationUse the function f() =Tr 6 t0 find each of the following: f(+h)Domain:Range:f(+m-fm)Use the function g(r) = 6r+7to fin...

Question

Give the domain and range in interval notationUse the function f() =Tr 6 t0 find each of the following: f(+h)Domain:Range:f(+m-fm)Use the function g(r) = 6r+7to find glrth)-glr)The number of Ilving Americans who have had cancer dlagnosis has increased drastically since 1971 part, this i5 more testing for cancer and better treatment for some cancers In part, It Is because the population older, cancer Is largely disease of the elderly: The number ol cancer survivors (In milllons) between 1975 ( (

Give the domain and range in interval notation Use the function f() =Tr 6 t0 find each of the following: f(+h) Domain: Range: f(+m-fm) Use the function g(r) = 6r+7to find glrth)-glr) The number of Ilving Americans who have had cancer dlagnosis has increased drastically since 1971 part, this i5 more testing for cancer and better treatment for some cancers In part, It Is because the population older, cancer Is largely disease of the elderly: The number ol cancer survivors (In milllons) between 1975 ( ( 0) and 2000 (t 25) Is approximately N() = ,(JI' I6 3.6 How many Americans had cancer diagnosis In 19757



Answers

Write the domain and range of the function using interval notation.

We need to find the domain and the range of the given function. So our domain goes from our smallest X value to our largest X value. So our smallest x value is negative three, largest X value is too negative three is included because there's a filled in dot there at two. This was an open dot, so too is not included. Our range goes from our smallest y value to our largest Y value, our lowest Y values 12345 so from negative five to positive for. And neither of those have an open circle, so both negative five and positive four are included.

I mean, and the range for this graph. Um, and I noticed that the high point is at why equals one, which means that the range will it could be, You know, any negative number that we want. It's gonna keep going down and down and down. But the highest you can get is a positive one. So it's going to a positive one with brackets domain. I mean, it could we could pick any X value we'd like. So it's negative. Infinity of positive infinity.

Where it's just a linear graph with the slope of zero where, uh, that's why equals negative three. Um, and the domain will go from negative. Infinity deposit infinity, right? This will keep going on forever. But the range we only have negative three available to us. No other y value is possible. So here's our domain and range, and that's it.

And that looks kind of like this. It stays positive to for a while, and then it goes to negative one like that. It's continuous. So we want to know what the domain and the range are. This is again positive to this is why equals negative one. So our domain, this goes on forever in both directions. Negative. Infinity to positive infinity. The range. However, we can't get any higher than this. Uh, positive too. So, you know, that's gonna be the top end of the range. And we can never go lower than this. Y equals negative one. So will be from negative one to positive, too.


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